enumerate vs sum

enumerate is not a noun while sum is a noun.

Word	Noun	Adjective	Verb	Adverb
enumerate	No	No	Yes	No
sum	Yes	No	Yes	No

As verbs, sum is a hyponym of enumerate; that is, sum is a word with a more specific, narrower meaning than enumerate:

Other hyponyms of enumerate include recount, miscount, census, add, add together, add up, sum up, summate, tally, tot, tot up, total, tote up.

enumerate (noun)	sum (noun)
	the whole amount
	the choicest or most essential or most vital part of some idea or experience
	a quantity obtained by the addition of a group of numbers
	the final aggregate
	a set containing all and only the members of two or more given sets
	a quantity of money

enumerate (verb)	sum (verb)
specify individually	determine the sum of
determine the number or amount of	be a summary of